The grade of an ideal or module-Reference-Cited by-同舟云学术

The grade of an ideal or module

Published:1957-01 Issue:1 Volume:53 Page:28-42
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Rees D.

Abstract

In (6), the author introduced a numerical character of an idealof a Noether ringA, called the grade of. This can be defined as the least integerksuch that(the definition given in (6) differed from this, but, as will be seen below, is equivalent). The purpose of the present paper is to study this character in more detail.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. Sur la notion de multiplicitá en Algèbre et en Géométrie Algébrique;Samuel;J. Math. pures appl.,1951

2. On Unmixed Ideals in Regular Local Rings

3. On the structure and ideal theory of complete local rings

4. The algebraic theory of modular systems

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